Universal Law for Tails of Density PDF's in Multi-Dimensional Burgers Turbulence.

[摘要] Extending work of E, Khanin, Mazel and Sinai (1) on the one-dimensional Burgers equation, we show that density pdfs have universal power-law tails with exponent -7/2. This behavior stems from singularities, other than shocks, whose nature is quite different in one and several dimensions. We briefly discuss the possibility of detecting singularities of Navier Stokes turbulence using pdf tails.

[发布机构] Technical Information Center Oak Ridge Tennessee

[学科分类] 工程和技术（综合）

[关键词] Turbulence;Burgers vector;Probabilistic estimation;Many-dimensional calculations;Navier-Stokes equations